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Finding the Third Proportional to 344,214 and 745,624

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Solution

The third proportional to 344,214 and 745,624 is: 1,615,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,214 : 745,624 = 745,624 : x
  2. Step 2: Convert to fraction form
    344,214/745,624 = 745,624/x
  3. Step 3: Cross multiply
    344,214x = 745,624 × 745,624
  4. Step 4: Simplify right side
    344,214x = 555,955,149,376
  5. Step 5: Solve for x
    x = 555,955,149,376/344,214
  6. Step 6: Final answer
    x = 1,615,143.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.